Question

One business charges $22 per t-shirt that is custom made.

Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.

How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?

(1 point)
Responses

Down 4
Down 4

Down 15
Down 15

Right 4
Right 4

Left 15
Left 15

Up 15
Up 15

Up 4
Up 4
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Answer 1

To transform the first graph (which is a proportional graph representing the constant cost of $22 per t-shirt) to match the non-proportional graph of the second business (which includes a setup fee), you need to adjust the y-intercept.

The second business's cost function can be represented as:

- Business 2: \( C = 16t + 15 \)

Where \( t \) is the number of t-shirts. The y-intercept of this graph is 15.

For the first business, the cost function can be represented as:

- Business 1: \( C = 22t \)

This graph has a y-intercept of 0. To transform it into a non-proportional graph with the same y-intercept as the second business (which is 15), you need to shift the first graph up by 15.

Therefore, the correct response is:

**Up 15.**